arXiv:1509.07272 Abstract | arXiv Analytics

arXiv:1509.07272 [math.DS]Abstract References Reviews Resources

Rigorous enclosures of rotation numbers by interval methods

Published 2015-09-24Version 1

We apply set-valued numerical methods to compute an accurate enclosure of the rotation number. The described algorithm is supplemented with a method of proving the existence of periodic points, which is used to check the rationality of the rotation number. A few numerical experiments are presented to show that the implementation of interval methods produces a good enclosure of the rotation number of a circle map.

Comments: 13 pages, 3 figures

Categories: math.DS

Keywords: rotation number, rigorous enclosures, interval methods produces, periodic points, accurate enclosure

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